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Applied Mathematics in Integrated Navigation Systems

Applied Mathematics in Integrated Navigation Systems
Author: Robert M. Rogers
Publisher: AIAA
Total Pages: 356
Release: 2003
Genre: Technology & Engineering
ISBN: 9781563476563

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Descripción dele ditor: "The subject of integrated navigation systems covered in this book is designed for those directly involved with the design, integration, and test and evaluation of navigation systems. It is assumed that the reader has a background in mathematics, including calculus. Integrated navigation systems are the combination of an onboard navigation solution (position, velocity, and attitude) and independent navigation data (aids to navigation) to update or correct navigation solutions. In this book, this combination is accomplished with Kalman filter algorithms. Elements of basic mathematics, kinematics, equations describing navigation systems/sensors and their error models, aids to navigation, and Kalman filtering are developed. Detailed derivations are presented and examples are given to aid in the understanding of these elements of integrated navigation systems. Problems are included to expand the application of the materials presented. The third edition includes additional background material, exercises and software. The added material includes: development of general form for Earth's gravitational potential with simplification to an ellipsoid model; development of satellite orbital equations for position and velocity and the impact of non-spherical earth gravitation on satellite orbital parameters; and illustrations in the development of derivative-free Kalman filters including the Unscented and Divided Difference filter forms. Additional exercises are included that expand and supplement the material in the text and demonstrate properties of the Kalman filter. Additional software is included in this edition for simulating random processes and derivative-free filter implementations. This edition provides a more complete foundation for addressing the different aspects of integrated navigation systems.This BookApplied Mathematics in Integrated Navigation Systems, Third Edition coverCopyright © 2007 by the American Institute of Aeronautics and Astronautics, Inc.https://doi.org/10.2514/4.861598Supplemental MaterialsPricesHardbackMember: $74.95List: $94.95Not an AIAA Member? Join today and start saving!Site Tools Sign up for e-alerts RSS" (ARC).


Analysis of an Integrated Inertial/doppler-satellite Navigation System: Part I. Theory and Mathematical Model

Analysis of an Integrated Inertial/doppler-satellite Navigation System: Part I. Theory and Mathematical Model
Author: R. Grover Brown
Publisher:
Total Pages: 71
Release: 1969
Genre:
ISBN:

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Inertial navigation systems have reached a high level of sophistication in recent years, but the effect of long-term-drift is still a problem in many applications. It has been demonstrated that position fixes obtained from the Navy Navigation Satellite System may be used to update an inertial system, but simple position updating can not correct the underlying causes of the drift nor can it correct the Schuler oscillation in the undamped case. This report describes a method of system integration whereby the Doppler data is treated directly as the observable in a Kalman-filter reset scheme. The advantage of this approach is that estimates of the inertial velocity and gyro bias errors are obtained as well as the position errors. Thus, the additional information obtained from the Kalman filter can be used to reduce the rate of error propagation in the interim between passes. Details of the Kalman filter model are presented in the report. (Author).


Principles of GNSS, Inertial, and Multisensor Integrated Navigation Systems, Second Edition

Principles of GNSS, Inertial, and Multisensor Integrated Navigation Systems, Second Edition
Author: Paul D. Groves
Publisher: Artech House
Total Pages: 800
Release: 2013-04-01
Genre: Technology & Engineering
ISBN: 1608070050

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This newly revised and greatly expanded edition of the popular Artech House book Principles of GNSS, Inertial, and Multisensor Integrated Navigation Systems offers you a current and comprehensive understanding of satellite navigation, inertial navigation, terrestrial radio navigation, dead reckoning, and environmental feature matching . It provides both an introduction to navigation systems and an in-depth treatment of INS/GNSS and multisensor integration. The second edition offers a wealth of added and updated material, including a brand new chapter on the principles of radio positioning and a chapter devoted to important applications in the field. Other updates include expanded treatments of map matching, image-based navigation, attitude determination, acoustic positioning, pedestrian navigation, advanced GNSS techniques, and several terrestrial and short-range radio positioning technologies .. The book shows you how satellite, inertial, and other navigation technologies work, and focuses on processing chains and error sources. In addition, you get a clear introduction to coordinate frames, multi-frame kinematics, Earth models, gravity, Kalman filtering, and nonlinear filtering. Providing solutions to common integration problems, the book describes and compares different integration architectures, and explains how to model different error sources. You get a broad and penetrating overview of current technology and are brought up to speed with the latest developments in the field, including context-dependent and cooperative positioning.


Introduction To Modern Navigation Systems

Introduction To Modern Navigation Systems
Author: Esmat Bekir
Publisher: World Scientific
Total Pages: 255
Release: 2007-07-26
Genre: Technology & Engineering
ISBN: 9814475238

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The emerging technology of very inexpensive inertial sensors is available for navigation as never before. The book lays the analytical foundation for understanding and implementing the navigation equations. It starts by demystifying the central theme of the frame rotation using such algorithms as the quaternions, the rotation vector and the Euler angles. After developing navigation equations, the book introduces the computational issues and discusses the physical aspects that are tied to implementing these equations. The book then explains alignment techniques.Introduction to Modern Navigation Systems offers an efficient algorithm for polar navigation. It also shows how to enhance the performance of the inertial system when aided by the Global Positioning System. It is an appropriate textbook for senior undergraduate and graduate students in aeronautical and electrical engineering. It could also be used as a reference book for practitioners in the field.


Marine Technology and Transportation

Marine Technology and Transportation
Author: Tadeusz Graczyk
Publisher:
Total Pages: 856
Release: 1995
Genre: Technology & Engineering
ISBN: 9781853123306

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Changes in international trade have had significant effects on the economics of marine transportation, and will continue to do so into the 21st century. This is compounded by the role of technological change and these consequent uncertainties have necessitated a review of advances in marine transportation. Marine technology, particularly the area of ship design, building and operation, is experiencing rapid changes in a more competitive world market. For any industry to remain competitive, it is of the utmost importance that new technologies are not only developed, but rapidly incorporated and put into use.


Optimization Methods and Applications

Optimization Methods and Applications
Author: Xiao-qi Yang
Publisher: Springer Science & Business Media
Total Pages: 439
Release: 2013-03-14
Genre: Computers
ISBN: 147573333X

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This edited book is dedicated to Professor N. U. Ahmed, a leading scholar and a renowned researcher in optimal control and optimization on the occasion of his retirement from the Department of Electrical Engineering at University of Ottawa in 1999. The contributions of this volume are in the areas of optimal control, non linear optimization and optimization applications. They are mainly the im proved and expanded versions of the papers selected from those presented in two special sessions of two international conferences. The first special session is Optimization Methods, which was organized by K. L. Teo and X. Q. Yang for the International Conference on Optimization and Variational Inequality, the City University of Hong Kong, Hong Kong, 1998. The other one is Optimal Control, which was organized byK. ~Teo and L. Caccetta for the Dynamic Control Congress, Ottawa, 1999. This volume is divided into three parts: Optimal Control; Optimization Methods; and Applications. The Optimal Control part is concerned with com putational methods, modeling and nonlinear systems. Three computational methods for solving optimal control problems are presented: (i) a regularization method for computing ill-conditioned optimal control problems, (ii) penalty function methods that appropriately handle final state equality constraints, and (iii) a multilevel optimization approach for the numerical solution of opti mal control problems. In the fourth paper, the worst-case optimal regulation involving linear time varying systems is formulated as a minimax optimal con trol problem.